Found:

PARR

SYNTAX/SEMANTICS: requirement that an elliptic second conjunct is interpreted in the same way as the first conjunct. EXAMPLE: given that (i)a can be understood either as (i)b or as (i)c, one would expect (ii)a to have the interpretations (ii)b-e. PARR however does not allow the interpretations (ii)c and e, in which the second conjunct is not interpreted parallel to the first conjunct.

(i)   a	 Bill wants to buy a book
      b	 there is a book that Bill wants to buy
      c	 Bill wants there to be a book for him to buy

(ii)  a	 Bill wants to buy a book and John does too
      b	 there is a book that Bill wants to buy and 
         there is a book that John wants to buy
      c	 there is a book that Bill wants to buy and 
         John wants there to be a book for him to buy
      d	 Bill wants there to be a book for him to buy 
         and John wants there to be a book for him to buy
      e	 Bill wants there to be a book for him to buy and
         there is a book that John wants to buy